7 A load impedance, Z1 = 10 + j3 2, is connected to a source with line resistance equal to 1 N, as shown in Figure P7.17. Calculate the following values: a. The average power delivered to the load. b. The average power absorbed by the line. c. The apparent power supplied by the generator. d. The power factor of the load. e. The power factor of line plus load. Line ww R=12 Vs =23020'V Z, Load
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- Which termination would result to a phase change of 180 degrees at the load if Zo = 100 ohm? a. 50 ohm b. short circuit c. 75 ohm d. all of these What is the purpose of impedance matching? a. maximum return loss b. maximum SWR c. maximum load power d. maximum reflection A short piece of transmission line that may be open or shorted and used for impedance matching purposes. a. converter b. decoder c. stub d. transformerThe sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?The estimated short circuit MVA at the bus bars of a generating station A is 1500 MVA and of another station B is 1200 MVA. The generated voltage at each stations is 33 kV. If these stations are interconnected through a line having a reactance of 1 ohm and negligible resistance, calculate the possible short circuit MVA at station B. (1831MVA)
- The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.A 3-phase overhead transmission line is being supported by three disc insulators. The potentials across top unit and middle unit are 9 kV and 11 kV respectively. Calculate: a. The ratio of capacitance between pin and earth to the self-capacitance of each unit. b. The line voltage. c. String efficiency. JAns: a. 0.22 b. 35.444 kV c. 76%]A generating station has a maximum demand of 30,000 kW. Calculate the cost per unit generated from the following data: Capital cost = P 130M; Annual load factor = 50%; Annual cost of fuel and oil = P7.5M ; Taxes, wages and salaries etc. = P7M and Interest and depreciation = 12%
- Consider the following power system model with the following entities:i. A generator generates a sinusoidal waveform with amplitude of 300 V and angular frequency of 5 radians,ii. The transmission line has a resistance of 1Ω, andiii. A capacitive load with a value of 2F presents at the end of the system. Answer the following questions:(a) Draw the relevant diagram and label all entity values of the power system as described above.(b) Replacing the real source in Figure from part (a) with a complex source, find the response of the steady-state capacitor voltage in time-domain.(d) Repeat the sub-question (a) above, now showing calculations in s-domain.Consider the following power system model with the following entities:i. A generator generates a sinusoidal waveform with amplitude of 300 V and angular frequency of 5 radians,ii. The transmission line has a resistance of 1Ω, andiii. A capacitive load with a value of 2F presents at the end of the system. Answer the following questions:(a) Draw the relevant diagram and label all entity values of the power system as described above.(b) Replacing the real source in Figure from part (a) with a complex source, find the response of the steady-state capacitor voltage in time-domain.(c) Repeat the sub-question (a) above, now showing calculations in frequency-domain.(d) Repeat the sub-question (a) above, now showing calculations in s-domain.A 3 phase synchronous generator has a synchronous reactance Xs of 9 Ω perphase, a no-load line to neutral AC voltage E of 12 kV and a line to line terminalvoltage of V of 17.3 kV.(a) Derive the formula for the 3 phase power produced by the generator in terms ofthe power angle δm, |V |, |E|, and Xs. (δm is the angle between E and V ).(b) The power angle δm = 30 degrees. Calculate the 3 phase real power delivered to thegrid at the terminals of the generator.(c) The real power increases when the power angle δm increases, but there is amaximum possible theoretical power that the generator can produce. Calculate themaximum 3 phase real power. Solve A-C
- For the single-phase power system below, find the transmission losses in Watts (assume that the transformers are ideal). Hint: Remember that loads can be represented by complex numbers in either rectangular or polar form.A generating station has a maximum demand of 25,000 kW. Calculate the cost per unit generatedfrom the following data: Capital cost = P 120M; Annual load factor = 45%; Annual cost of fuel and oil = P6.5M ; Taxes, wagesand salaries etc. = P6M and Interest and depreciation = 13%Under balanced operating conditions, consider the 3-phase complex power delivered by the 3-phase source to the 3-phase load. Match the following expressions, those on the left to those on the right. 0) Real power, Py (ii) Reactive power, Qu (ii) Total apparent power Sy (iv) Complex power, Sy (a) (V3 VLL. IL)VA (b) (V3 Vu sng) var (e) (V3 VLL. IL cos ø) W (d) Py +Qy Note that VLL is the rms line-to-line voltage, IL is the ms line current, and o is the power-factor angle.